The first linearly convergent algorithm with a \(\delta \) -contracted compressor is proposed in [1]} as follows:
\(\begin{alignedat}{-1}\widehat{X}^{k+1}&=\widehat{X}^k+\mathsf {Q}(X^k-\widehat{X}^k),\\X^{k+1}&=X^k+\gamma (W-I)\widehat{X}^{k+1},\end{alignedat}\) 
